Consider the graphs of equations of the quadratic form

Chapter 2, Problem 2.9.7

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Consider the graphs of equations of the quadratic form that have two x-intercepts. Let d denote the distance from the axis of the parabola to either of the x-intercepts, and let h denote the value of the y-coordinate of the vertex. Explore the relationship between d and h for several specific equations, and then develop a formula for this relationship.

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